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Finding the Third Proportional to 547,205.63 and 822,561.75

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Solution

The third proportional to 547,205.63 and 822,561.75 is: 1,236,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,205.63 : 822,561.75 = 822,561.75 : x
  2. Step 2: Convert to fraction form
    547,205.63/822,561.75 = 822,561.75/x
  3. Step 3: Cross multiply
    547,205.63x = 822,561.75 × 822,561.75
  4. Step 4: Simplify right side
    547,205.63x = 676,607,832,563.06
  5. Step 5: Solve for x
    x = 676,607,832,563.06/547,205.63
  6. Step 6: Final answer
    x = 1,236,478.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.